{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Derivatives Analytics with Python"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**_Chapters 2 & 3_**\n",
    "\n",
    "**Wiley Finance (2015)**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/images/derivatives_analytics_front.jpg\" alt=\"Derivatives Analytics with Python\" width=\"30%\" align=\"left\" border=\"0\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dr. Yves J. Hilpisch\n",
    "\n",
    "The Python Quants GmbH\n",
    "\n",
    "<a href='mailto:dawp@tpq.io'>dawp@tpq.io</a> | <a href='http://tpq.io'>http://tpq.io</a>\n",
    "\n",
    "Python online training | <a href='http://training.tpq.io'>http://training.tpq.io</a>\n",
    "\n",
    "DX Analytics library | <a href='http://dx-analytics.com'>http://dx-analytics.com</a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Market-Based Valuation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import plt\n",
    "plt.style.use('seaborn')\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WeDd8nSC4dPa8uAKJSHq9+MFyPihvEDigC2PVIFAqEaVYXO3u02JPIiJpN2/5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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1091d1e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%run 02_mbv/inner_value_plot.py\n",
    "plt.savefig('../images/02_mbv/call_inner_values.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iJDk5JN3dC9v/fgfA1bsfWcNGFNv16FHo3dtOZqY5aD5zphulZNA8VIJJIHu1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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109c4a4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%run 02_mbv/BSM_value_plot.py\n",
    "plt.savefig('../images/02_mbv/call_values.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Market Stylized Facts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Uncorrected Sample Standard Deviation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = np.random.standard_normal(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.99627912607156266"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "s = lambda x: np.sqrt(np.sum((x - x.mean()) ** 2) / len(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.99627912607156266"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s(a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Geometric Brownian Motion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "%run 03_stf/GBM_returns.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "gbm = simulate_gbm()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RETURN SAMPLE STATISTICS\n",
      "---------------------------------------------\n",
      "Mean of Daily  Log Returns  0.000073\n",
      "Mean of Annua. Log Returns  0.018422\n",
      "Std  of Annua. Log Returns  0.201944\n",
      "---------------------------------------------\n",
      "Skew of Sample Log Returns -0.016447\n",
      "Skew Normal Test p-value    0.730950\n",
      "---------------------------------------------\n",
      "Kurt of Sample Log Returns  0.120578\n",
      "Kurt Normal Test p-value    0.206628\n",
      "---------------------------------------------\n",
      "Normal Test p-value         0.424617\n",
      "---------------------------------------------\n",
      "Realized Volatility         0.201947\n",
      "Realized Variance           0.040783\n"
     ]
    }
   ],
   "source": [
    "print_statistics(gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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H5LNxVw0rdWhjuHc/38upM4ZEbAkBRoTEjJYkIqle295cvpuvHNfzN7No1MvN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dykkUI+s0snBddvJCclKGIXafUNcqVLPtXt9XpxiSw1jVbbY1m80dXJhL8mGPUsfwVQCOBFSmmC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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f1b6470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "quotes_returns(gbm)\n",
    "plt.savefig('../images/03_stf/GBM_quotes_returns.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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a9wCtwFeMMf9ojFmZwlwiGe/h9sfx8Tmvdg3l+aVBx5EMEJ9ZtZVoxucHG0Yk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\nGAlMIiIiojESmERERERjJDCJiIiIxvgXSinyNO2l6MIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f330be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_histogram(gbm)\n",
    "plt.savefig('../images/03_stf/GBM_histogram.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f882b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VSh4i9ZPIhlInA8OBg/ESjg9vJbo2lJKUiV5J3olNTGQq17GYNlTzD35EISW8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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f86aa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_qqplot(gbm)\n",
    "plt.savefig('../images/03_stf/GBM_qqplot.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SHkOusekv1JjZl/teuj3AsQ8BD/VpuyHp9WUDHPd7oGyAbf881MdNRX5eMGLTpgdhioiI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\nGgo2IiIiEhr/P1ZBi8AuGpQZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f874198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "realized_volatility(gbm)\n",
    "plt.savefig('../images/03_stf/GBM_realized_volatility.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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v07qZcffleXjnoen42zz2OVZnD91Z3B+O7/pNUiwmPTQAbGH8XXiUJil89HLd\n7uKoFbYF++vrufacFkJIf34hIUQHICptOykto7peudhITlo3M2yNLonRCUiN0LRucYLHQWkWaWt0\n4Yll2/EjV8m6YW8JfD4f3vxyv2LxkRyD6Id+xTn9MHdqX+R2t+LNBefg2vMGwGLWR9XFT+mYuD1e\nyc2L15ybMaan0M6uPcSjKW2D/MHGSxKZFeTjeOS5nGajLiCsfdlUf2HmwiUbUcH1mOer48XeU4Ne\nixsuHNSsdoiticWsx4vzJ+GRG8ZEvK/4/N759pDw+o0v92P5D/lY9sMhPPfRLuzIL8ODb20W0rDO\nHZ0d8FkdHb6a/ZIpfTFqQBomDu0OgDX2h/ROQVK8EXUq6gliHFwU0RADRqhWq0F8nAH1ETxjlZxC\nGckWDOyZBJfbi5IwnvthjS3IuiUAbgJwBkAvACCEDACwDkB+VI5OaRF8cnConBa+Ql7uDRUnFw/v\nlyrMCOsVZksb9hTj5Jl6QU4FAHYw0hnpEzePx7C+6jlXC68bjaG9k3HOSP+Nz2TQQaPRINlqQo3N\n2allQyjB2Xu0Arc9vxYvrNglLONTMFKsJmQks4VqoWR1KJ0Lr88nhAHdHuXfd7B7mLxwpGdGAu6/\nagTGiDrIpCWZcdslfk9jTT0r6cTfy5S8px2RZKsJhmYUyoQKP289wKZFFZyulehH52Ra8cztE4T3\nnWECyKdYTByehbsvzwvQv05KMKKsplHQtVTD6fLCaNSpRhG7GglxhrDD8R6vF78fDvz7JVtNGMrl\nVa/ecQrLvj/UYkUT1V8mwzBPKCw7AmByi45IiRp8JeisCcEd03yFfFm1Xcjz2FNQgY9+OQIA+NOF\nBAa9Tlh3vKQeJEfaQURJEFhexZyZHAdTkBvowF7dsGDeKMV1yVYzjp6uQ53dKbTSowSnorYRP207\nhSum9esUyfUvf8oWjYiLUzzcQ0+v0yKO8+Y0OqPbQpHSckqr7LCY9Ui0KMsOBeOX7aewYk0Brj63\nPzweL3IyEzB3Sl+88pm/iCiYV9Ig8oTOHNsTQ3qzD8H5lw3HitVH4PZ4YTEb0F3U2rLa5sDK9ceE\nibI5SM5pV0AuWeVwerDm96KA7XjPM0+8WY/MZAtG9k/D7oIKOF2eNu+lHikOzghVar4CAEnxJgA2\nLFm5D8/eMREZKqoLDpcHphjwgvIkWAwoq26E1+cL2aDgq40nBKdVstWEycOzMGNsTyTEGZDEPZ/X\n7i4GwCr7elbEAAAgAElEQVTztKTZQ8TfACEkmwvTU9oZfpYfSpg3J5NtTXei1K/P+cpne4WLjP8x\n80L1ShprSqpN4lnVvVeOgNGgkwjYkl7dwjkNAKwnDACq6qLbEqwr88bK/Vi9swjfbTnR3kMJiTy0\nw/er5j2her1WCMnK00Yo7Ut1vQMPv70Vr3+xr1n7f8aFfj9eUwC3xwejQYcR/aWScpPz1KWnxQ/M\n3EyrZN28GQNw/fkEAJCTYRWqd9/8cj++23JS2E6pmKkrMWNcDmaO7Sm8f/Sd3/Dp2tClG/yEn//7\ndAbNUD7nVd0I9U+UFr61RTW65oii4HpnwBpngFemiqDGkVN+R8H/XT8ac6f2FSagcidReU0TClW0\nv8MhmETTWELIEUJIPSHkBa5nPADMA9A5tBy6ODVc3ktyCM9hJjcTVDPwLNyPmc+NUcoFUQrRH+Na\n3z1583jkcTIk4vyas4ZmBh2XZIzJ7BjlnZ8o6tRyAu9ydYKOwuqdRXjm/Z1we7wBrRX3FFSioKgW\n325mDQW9VqP6IHS5PbBHURyZEhnFFQ0AgIKi2hBbKiPuy+71+aBXiKqE8swsum0CLhjfC2cNUb+n\naLUaPHHzeMV1Om3X9ngZ9FpcO9PfflLe4UYNvoseXyEeTlV5KOoanPjwl8MR9ykPF/7+oJZHLJ9w\nqJ2T0+WJicp4HqFrUhgyTeLIp/y3Iy8uXLH6CB5fth0HTki1RMMl2C/zCQD3ABgPoBTAZ4QQM8Mw\nLwJoaNbRKFGlrJpNDE5JNAfdzsrNDPmKQbkYfTfOCxnMCFWqNizjZJ/EP2RxTtF4rpJuUE5oj+ig\nXPZBpdZNiRIIX9TjibC5QFvxwarDOFJUi/KaRmFywU9WzlTbsej9nYKBo9droddpYdRrA4SQX/9i\nP/7y8nppd6/tp3Dzs2vw3Ie/0y5LrUw43WeCYTFLjQV5uDc7LXTbxO4pFlx97oCQoeJgEkixQEpi\nZKlMvDQWP8nbcqC0xWP4cuNx/LKjCEu/OxR642bQ5AwsNhMjvx2qSQ46XN6YEKrn4VVHwilOEjuT\n5L9fNXtjczMVF4L9ovMZhvmeYZhDDMO8AOAfAJZyHtGO+dSLMU6U1kOv0yI7RO9bk0EHk1EneKPk\ns+Se6WwuqEGnboSq9WoGpDcD/gefkRwHi9mA1+6dgvtE8k9qpCWxF7a8PRhFyo78Mnyz6bhE47Wj\n54OeLK1HKVdJee7obBgN2oDONvy1Fx9ngF10bh6vF/s4yR2xl3zFajafOb+wBiUV6lWaPp+PNkFo\nAYVn6gU5NgDNauvbKPNi84YkL/fyl8uiq9t53YWDJO8vmdQ7qp/fkbn7sryItueLcvhuSXxkoiXw\nz5kz1ZFVTxcU1WLz/tCGjEMwQpU9ofJJk0Pheeb1+uD2eGFq4y5a7Yk1jnVG1TeEVg7gn8d3XzY8\n4Pmilv63hSt+i5Rg34BErIxhmF0AFgNYhiAFTZS2o7bBiW6cGH0okixGVNY2oajMJlRKylHzhPp8\nPknOx8CeSZL1YiNUaCPK5XzFmw1hSWAY9DqYDDoadg3BG1/ux8oNx5F/0p+z0xErWstEzRHe/uYg\njhWzBmRqUhzizYaARgk6HfswjDfrJWLbv+zwF1fwOcxyr3ww0e1fd53G7S+sw5FTobvIUAJ5fNl2\n1InCd19vOhGxgkWjLL1i/3F2UnHrxUPwr79MQmaKRWm3ZsNHVQA2FWDOlL5Btu5a8EWoiuuS1Nfd\ncCEJuU24CNqsESgSOF0eLHp/J9759lDIZilNLg9MBp1isSwQGH5X+rxY6pbEw4fRa2wO1DY4Bd1Y\nJXhDX0mwHmDbcCtRptIePBjBrIMGQsg68QKGYfYAeBlA5CWSlKji8/lQ1+CUJGEHIzHeCLvDjceW\nbsMX65W9Gbw0yMZ9JZIQZ3W9A3V2F8YMTMfShediwbyRon20EiP4vHG9cO+Vebhyer+Iz8lk0KIp\nCjlJscCSlf4iEUcHLCaokbVyPVVWj3izHj1SLbCY9QGGJO8J9frYwiTe+3mqzN8Bh/eS3/fqRsm+\nwfoY88UZa2RVwZTQqOX0VYWpT8wjL4TgZZr0Om2rKGF0T/VHhmLJyADYSb8aBr0WF3HC/yP7p2Hu\nlD7CuqkjekCn1UieJ99sPoHXPt8b8Dmh4L/f8prGsBuQiFv3BsslrbE5cLK0Pmgu5xXn9MPQ3slC\nGljB6cBcZkGoPoauD77w+H8/H8Yz7+/Ecx/tQlGZLWC7TftKsGk/m5ah9nc+f3wOli48N0DDV6kz\nYyhUjVCGYe5nGOYcheXbAaiXMlLaBI1Gg4nDugetKhWTqjLDjRfle4g9lnsL/F1H+DBo7ywrt53/\nwszJTJDorGk1GuT1S2tWIYDJqAs5C6YEcvhUTeiN2hi5t6yyzoHEeCM0Gg3izYaArlz8tcfniL70\nyR4A0oKVck6AXO6Hs6u0n3V7vIKB3lHzZjsKPp8PTGG1xKteUqmc+l+u0OUqGG2tdpAoMqQ6utxQ\na6DWCcqo1+GKaf3wzkPT8dcr8nDxJL8RqtVokBhvFIodAWDl+mPYdaRC9felBu/AsDW6sOz78PJC\nxdG5YEboix/vBoCAQkcxad3isGDeKJTXsJOlrzYeD9gmFj2hvBEK+DvVFZUHGqHvinJ5Q6lKyO/j\nX286EfG4FH+hhJA8Qoiq8BPDMI2EED0hZErER6REjZsvGiwRfg9GVmpgyOv5O8/Gs3dMFN6LLzib\n6MbDV9VnJgd+Rt+spIBlzcVk0HcKiZDWxOfz4aNfjmCXglCwGnV2F77f2vJcrmiiVMjGPxTizYFh\nOj7PSCcKsf28rVAStq+qcyimHiilcNibXHhi+XbhfWcRK28vNuwtweIPd+GVT/fA5/NxKTiBDygA\nKKqIrC5VboSGal/ZUsTSPXyaRyzRt0ciltw3FXfNGSa57/NFn2pKBEnxRtTYnAG/MbXImRoOp3//\nrQdD5wkWldkk+aNqRmid3YnT5eFfe9fMHAAAGD0w0JThjadYMkKVog7yBjZyJ1CoSdzgXKme+OFT\nNUEnCEqo3ZmPAfiYEPJfAKsYhhFq7wkhFgCTwFbO3x/R0dqKadOQJPtjOi6Zi6abbwXsdiRde0XA\nLk3zroNj3nVARQWS5swNXH/jLXDMuRza00Wwzr8tYH3jnXfDecEs6AqOIOFv9wSst9/3AFznTIdu\n314k/H1hwPqGh/8B9/izoN/2G+IXBfQJgO2fz8IzPA+Gdb/C8tLzgetfeAWe/gNg/OkHxL35WsD6\n9DvYz5zMbMRFe34AAPTdKrqAvloJvc6EGQdWY8aBNTB8rkVcRgKMBh2m1zbhi3MfQJxJD/PS/8D0\n9UosKmTzSXqtTYDldQNqv/weABC35FUYV/0oPbjZjNoVXwAALC8uhmGDJMsDvuQU1C17HyajFlet\nXoakdc9K1nuzeqD+zXcAAPGPPgT9fqleoadff9hefBUAkLDgr9AdLZCsdw8bjoanFgMArHf+GdoS\nVmQXBh2SXB64x45Hw6OPAwASb7oemmqp1IRryjmwL3gIAJA07zKgSfbDPe9CNM7/K7t+zkWQE+61\np6mshOVP12F6MRs+SuIaBoivvUWfPBKw/8oxl+IzABenOUNee3jykYDfRmtcezmF1VjErf/XrHtR\nYU3HhIPrkTTnOfy5skHicXn24oeQEGeAacUHeOrjJX71hk+ACSY9Dl70MPTWeOSt+hRVL87HIpmX\ndff0jwFIr73GSjvmNzjg1Jvw+GWPwe31Br32ACD+qceh37FNsr7Vrj1+fWteewYdzLMuCevaO7b3\nmHBtNS0xodHpxkSjDif7z8BGMhlp9eVY8OMr8Pl8SPrOiCQu5B3qvtdw79/Q6NBgTFMxLv96CQAg\nZ60VcdxEpDWuPY1Bh2ePVcLr82H9vYsADIXpy89hXv5uwP517/4PvtRUmFZ8APOKDwLW1374GWCx\nCPe9gPVRuO8BLb/2cNttSDrg92AlAUgbNhxjn1qMFz/ejQuW/B1ZTVVI2vqCsI382nvoaBGqbQ7E\nrbbCYtbjavTCxxOuRuEZW0TX3l3cs2HjwEn4fuRFQa+9kosuxwtLfsHT3ywWlmevSUCCxRDwzK07\nU49F4gnNNC0wYZrqtTfglrsBmJB6jEHSnPsk64wONwYNmAPzxNxWe+bWL3kb3uye0b/2uOdWc649\n/rldb7bimUsWYuX6Y7jo27eRfJD1MHs8Xiw6XYuKhDT866L72MhVkGvvnivysO/Cq9DHdgZ6rQZ2\nhxsZ6xOhGz1SuO8l3PlnNB07Cfy+NeAcARUjlGEYGyHkOgDPAfg3IUQPVpbJDDYf9CcA9zIMU6C0\nfyQQQmYCuAxAGQCfvFMTIcQM4AUApwEMAPAswzCHW3rcWCPSGZ/L48XxkjqQnGR4OaNAKT8kmhIX\n1jgjfD620ESnknTe1Ym0yCid04CNdnFHSxDngSm1INQqpGrEc57QXhkJkiI4r48N1ackmVFvV27r\nancEek7kxQn8mOxNbpiN6kUNsYo4B7y2gZP+krXY7NcjEQWna+FSab2phNvjg9cnlQ7StEGEXKMB\n4IuNvuChuP+qEXB+lYSU+uBhdUucAdU2Bxod7G+Ej5NmJCt3HFKiWkGfNNg9TUkSyquSOhMs91sJ\n/rvfebgM18jW8cWMwXJoYwEfgPV7SjC+tgFJCUZJDn44GA06TBzaHaYTdtTYHLA73DhTbUcP0VdY\nY3OgotyGZJXP0Mg1I+Vwkky5ANIA1AI4yTBMVHRCOa/qXgBDGYZxEEI+B/AGwzCrRdssBOBlGOY5\nQshwbn2oNABfeXnz9CbT061o7r4dmd8Pl0s6nswc21Mibsyf93dbTuDzdf7wi8Wkh9GgRY3NiSdv\nHo+eXLXc5v0lOHSyGjddNDik0HS4fPjLYfyyowiP3TgWvburt/GLFh3xu97JlGHJSrYXxNKF50rW\nuT1e3Pb8Wsmyh64dheU/MmhodOHVe0Jnx7TFOW87dAZvfXUAAKsLuvcom19s0Gvx779Nw1cbj0vy\ntMaQdMyf65fpYQqrsfhDtr98VqoFtkYX+vVIwu6CCsXjTRuVjRsuIJJlf3/nN5wWhY3PG5+DiUMy\n8OTyHcjJSMDjKqLmXYlIvuu3vzmgqJoRZ9Lh1j8MRf+eSTAbdcL19/q9UwP0A5WosTlw/+ubMH5w\nBrYdYmWAnr71LEEkvTVIT7fikr99BZ8PmD0xF5efE3mRZGcjGr/rksoGPPKf3zA5LwtT83pg0fs7\nhXXXnTcQ/bOTkNvdGuQT2IJJec/2x28aJ3TtE1NR04gH39oivNdoWI3Pa2cOwMyxvQK2v/nZNcJr\nrUaDr164JOg525tc+MvLGwAA/7hxnGTsy3/Ix/o9xbhx1iBMHdEj6Dl1NFryXfPnrUScSS9JnVl8\nx0TByREOW/aX4j/fHgQA/P1PY9EnK1G4pgDgmxcvVTQUQk4TGYZxMgxzhGGYLQzDHIyWAcoxEaxR\ny5fSbgIwW7bNbABbuLHsAzCCENL6FkoXQ9wV6dnbJ6jemPtnS3M87Q630JlJ7Ak9e1gWbpk9JGoG\nKAChLVg4HR26KuKcWLlHgM+16SnShbWYDchKYQ21GlvH6JxUL/r+LKL8vFv/wOYCxomuoxsuJBID\nFABITjJMBh26p1jQ5GTlWMRJ9fLPrlU4b7kndNW2Qjy5fAcAoLDMho17S1Q9LrGI2p8i0WLEyAFp\nSIgzSPLDqlWuNZ/PJ7kO+YeaWK4nGjJAoZg4tDsAYFCOmv+FIifFyn4vNTYHmlxSr+MHqw7jieXb\nsWpHcJUJcRSEV0hR694kztkGgFROBD2cQrZn75gQchvx80p+LIYLSyeGqS7TVbhx1iD076lcxyH/\nu0digAJ+MXzA/6z66JcjIfdr72z9DABik76OWxbONkH7O6anB5+xtda+HZWkbhbMKa7DyIHpGDpQ\nufVderoV1Y3qN4D+vVNbVdIiI431suqNhjb7Djrad603+r0I1sQ4SQeYnZxiwfD+6SjiEvSHk0zs\nOVaF3QUV8Gi1YZ1Pa53zoeNV6JWZAB83MRk7OBP3XjsGL330O+adT9C/JyuZkp7m157rkZmoOJ7U\nJDPKqhvh9niR292KXlmJwK7Tkm0W3z0F9720FvWNLvh0OqQnxwlKDa4QaQ1Lvz+Epd8fwo2zh+Dy\ncwe06Lw7MuF+12p/rZSkOMXPMMcZA5bnn6zC7sPl+ODHfDx0w1gM6ZMKIyeQnZpswUVn98aZKjt6\nZIXuoNZSFlw/FvPKbejTI3qFkx2dlv6ufT4f9DoNXB4fzHHspC81ySxpIPLRL0dw5XlEMc0GALIz\nrNh7tBKDe6egJxfN8qnclxpkBYVxZj1QC2h0uoDtbaJCx7RucRjcnzUTQp3z+CHdse1gacC2Jm4C\nO+Os3p0yNacl3/WC68bgH29vESrklehmNUV8jAlWM8Cpmpi4+0N1kCY3PO1thJYBEJ9pIrcs0m0C\noOH4QC6ZyGrEKZ0ff94NNnUNwNqayDpgRIqXm32Xlte3yXfQkb5rt8cLl9uLiip/oKGouFbiASwq\n5aSyMhPw7kPTAQA11Q3QcqJFRcW1SLUEz3FqrXMurbLj4beliecXT8yF3daE27lqaP64XpGXxedy\nK46nT3erINdUWdsEg+w5cdvFQxCv16BXRgIKimpxy9OrcNGEXFwxjfW+NDnCU1lY/t1BTB3ePbyT\n7GRE8l2XVyn/ts0GreQz+LD6qZJapMYbsJMpx56CCsyZ0gcPvLFZ2G7xf1mvs1A96/HgiqmsaHxr\n/+bS062orbEjQTb2rky0ftcerw/MyWoUnGQL5PpnJwV0sTt2sgopiWZ4vT7U251IElVdN3DG4vXn\nDRD2O3m6FmfK6gKiZvFmvcQQdXNe1C/WFmD2Wb2g0WhwsrQe2enx+JWbgI4akIY/XkBQXl4f1jmL\nfSb8trZGF06X2dAzPQGVlZHlQHYEWvpdmzTAs7dPxKZ9JRI5JjH3XpHXrGPcdNEgLPs+H69/sht6\n+HBaQQJKTntnbW8BkEsI4a/iSQC+I4SkiELu34EN24PLCd3DMExQLyil+RjbMZGfzzGTd9OJBd7+\n5iDmv7ReIplRY3Ng64FSIWzMy2ekJJqg0WgErx8vbxRMX08M3wErmiL3St+ZWns3IgqRxqts010k\nLTN9VLYknHvtzAE4awjrzedDiADw/daTQlGTPBxPAT5fdxQfrAqs6XS6PKpyTFaLNFw5hrAeqBJu\ngrBk5T5s3FciNBeQc4jrymI2tbe/gxIOgjDFr2zN8fC+KUiXdWHilS3e+zEf972+CSdL/cYKXzxk\nMRuEUPc3m0/g/Z8YyWd4fT40OjySAlRxusc+LrrzxPLtuO35tUJYN9lqiqjBwayzcv3H5IqRSiob\n4PH6MLRPbKdqTBqehaULz8W8GYGRIKUc3nDgC6DtDjc27w8sOlMipMVBCJlJCJnLvX6AEPI5ISR0\nM/AwYBjGDuBOAK8SQp4CsJcrSloI4C5us1fAGqqPAlgA4JZoHJuiTIZIC3Ron5Q2PTZ/c6kJw4Xf\n1djB9W5et9ufNL74w9/x9jcHBc1QNYFla4RG6N6jlXh82Xa8/zMTeuMwUapaVzNCxcv5PDA5Yg+w\nQa+VaNiePSxLMMDlKcmPL9seca7noSDt67oS3205idU7iwKW19gcqn8zq8yznp3G5iPL2/MVhdBv\ntFAjtFNiMugCxO9rG5zw+nzYsJft887/fn7YelK4j1lMekm+5drd0mKYRocbXp8Pw/um4sFrRgGA\nxBhyuT04qtDpKK9fWkTj75EWj3GDMoRxA/7Oa5HmPHZVzh/XS/KsP0+hKCxcxAoG4iYHD18/RnWf\ncO4MtwJ4hBAyHsBtYA3B/wNwdTPHKYFhmFUAVsmWPSh63QhgfjSORYmMnMwEHDjOhmX+/iflLhzR\nhDc8quqasHpnEYb1SelQ0kNtDS+ovO9YJUYPTBfey/Ny+YTwcI3QM1wu0Kb9pbjlD9ERDpd3zgCC\ny+OMHZSBOptDIiwuJlc0E9dqNRIjNM4kaqqgcM6FZ+qh02rg8frw9K1n4R9Lt8Ht8WHMwHQkJRix\n5ndpbunzH+3Cuw9Nl3T+6src/OwazJsxAOePYx82/KSvb49EHCuWBpnknlA1r7uScStG7XumdCzm\nzx0uaQlsNuphtRjx+r1T8NuhMvzvJwab95dig6jC+pNfC1B4pl4QptdpNTDotUKhKc/Nz67BTRcN\nwpS8HsL1k2AxYFBucoASCKAJkOlLtpqQ1y814nPioy12hxvJVpNwbPn4Ypm/Xp6HhiYXjHpdyC5J\nwRDftw+e8E/u1YqhgPCM0AKGYQoIIS8AeIVhmK8JIZObPUpKh2fRbRNwoqQO44dkIjfTihH909qk\nswRfgbvrSAV2HalAvFmP1+6d2urH7eis31OCjGSLqieUNwzqZaoCh0/VoFdGgsQAsDe5sGJ16IrF\nSJF32rhx1qCg2981Z1jQ9dnp/uKlhkaX5MYoNhZrFbpzfLflJDxeH/L6pSIrNR6P/WkctAY9eiSz\nXtchvVMkcmUA65mxxJBm4IrVR1Bc0YAbZw0Cw7V9HT0wHSaDDmcNycTyH/IBAAZZx6H4OPZa2smU\nK3qq1IhrwYON0naI9VwBf7tni9mAdO417+0UI+6MxE8+lQp+ln2fj3W7izGFazctj5acP64Xft5+\nCk1Od0AOae8Q8lBq8ClmLjd7j+KrwOnEyI9Br40ozUGNPlmJmDoiC+v3lAjG/t2XDQ+6TzjfQj9C\nyBUArgUrj6QF0LOlg6V0XLqnWNCd80COH6xcSd8aaDQapFhNQqhPXj3ZVZFLYyRaDKiTGZSfrz2K\n4ZwXQJ63y9/IG0TeqZLKBjz7we8A2PZ1fIjl6ke+j+7gORxuvxH6pwtJVLT3+MIFh8uDtG5xyE6L\nx/gh0uuxb49ElFRKi2p4nUL+79IzI0GSzJ+rkO/kcHlhaX3loA7F+j3FGEPSsZJry5jRLQ4XcaHR\nugYnvlh/DMP6Sj1POlGjgaf/txPhEheGpiil/RFPcDWQpsuEK2ckjoA8dO0obDlQivV7SoRlx4rr\nBI+7VWaE9s9Ows/bT8HucEMvu881N6WDHw8freHbB4ejc0uJHPl10jsruKJmOFUorwL4I4C/MwxT\nDmAxgP3NHB+FEpRuCnqQXR25vuckzksgxgcIou/ycAnf9WPn4XKhO0m5KGfvo1+OIF8l7zFUs4pw\n4W/ww/umYkqUxJ95nT+n2wuTQYd//vksXHx2b8k2184ciL9enoe/Xp4XsL/aQ4v35gFstS0AVNd3\nDI3V1uLAiSrF5S9xkiqANA939sRcvP3AtIjz5v79t3Mwc2ygj4J6nToH4u+pm9UkMSjDNULFk2SS\nk4wbZw1W3VbuCeWPX1zRgM/WHpWsszZT05NPX3JyE+W9XBGd3ACmRAe7zHkkzyuXE45Y/WaGYS5l\nGOZd7v0DkOVwUijRIinGxIMBoEZmAE0YElwySJ67KA57lXJeQXlx15cbjuH5j3YFfFakrfDU4MPx\nU/KyotbA4M45w5CTmYA/yAxPMXEmPUYOSMPIAWnolZEgWacmqC729vBV909xkkJdlU9/Dd1hWZx/\nrdFoJNXKYu65ItDg5zHodZg+KjtgOX3gdw6SEowwGtjvPUXmEFC6N/OSaGL0Chqif7qQBCwDpALn\ngN8IXbc7sKtPc8PFQjje5YXb40VDowvxZj3SaGFSqyAubgageh/hCac6vhsh5FZCyKOEkMcIIY8B\neK1Fo6RQVIjFZHHeWDp/XC/89Yo89MpIwDUz2UrRIb2TI+p/Xd/owsuf7sE3m45Llh8uqpVUgY8Z\nmA4AuPvlDQGVznKanG44XR48/9EufL3xuOI2Trdy0VRL6NcjCY/fNB4ZYT4snrh5PBbM8wt3XMbp\nUsoRG/GlIn3M4yVdU/nN7fFKJJh4I0PMbRcPUVUzkDOif5rkbzuXe90vmw27ZaXG46rp/SX7xFK+\nbWdGq9EIkRV5UZpGo8HbD0yTLJswJBNLF56L/zzoX64k83fOyMCJCQAh7YtHXHQoR9wpLhL48Tjd\nXvy0rRAery8gzYQSPWaO6YlbZg/GDRcSPHlL6PbI4TzdvgcwDYARbJoI/49CiTriVmvy6siuCh8K\nHpSbjJH92fDwuaOzMW/GAPzxfCIk8QPqLQ+v5YzWonIb9h6tRGWdenj5ltmDJQU9v/6uXtl8srQe\nd/1rPZZ+fwiHTlbjSzUjVCiaal/p4aG9U/DavVPw779NC6s/+aWT+wiv//neDny7+UQrjq59WCOq\nXJ87tS/6KXQRmjA0MsF+sfEwY3Q2br5oMO65YoSw7MKzcvDgNaOQlmTGA1yeKaVzwEcylKqk9Tqt\nRCklKYE1VHVarSDzozZpHqYg+ZeRLJ1gylNoxFGV5rZg5SfGDpcHn69j859DhYgpzUer1WDS8CxM\nG5mNnukJIbcPJ1GnkWGY68QLCCFfNneAFEowxF4an4/NWezK0jk78suEG2OyKNyk02oFCZ2rzx0g\nyArdoBLW4sNYn6wJHXZNSzLDLPI4yD1gu46Uw+H0YMLQ7thztAIAsO1Q8CZlavJR7UF8GF63R/44\nBk6XB4N7p2DmmJ74hTPUvlh/LGj4vzOy56hfSH72hFycM7IHth8qE4TrM5MjD0umiApW4kx6TFbI\nYx6Um4zn7jy7GSOmtCf85F9NO7aPqNBEXKjGK917FDSDAeCOS4chv7Baokwh2R+B4flX7pmMpd8d\nQnq3uGa31+Qlmn78rVBYJm5+QWlfwnFbfEEImUoIEV8ds1trQJTYRpyv5/X50BTFrj6tzca9JVj+\nw6GIin3e+NJf45eVqqyJatBrhXVZKcrePd5rofYAEGM06HDjhX4JJfGDoMnpxmuf78Pb3xyE1+cL\nO5ePr45vz45bkdAvOwmDe7OemYsn9Q5Y7/X6sPyHQ6qdgDoT4oe3VqtBosWIGWN6YvEdE3HL7MF4\n5vP9nUoAACAASURBVPaJEX9mqsgj35UnibEIf70Eu5eMHpiOqSOkE48rp/dHnEmHOaLoghiLWY/R\nA9MxbSRbuKiUKyg3SuPNBtx9eZ5iV59wSeAmpeLUm85yn4oFwpkOCPmfhBAf2FC8D8Ci1hoUJXaR\nt1usqncgu5NU1i79nu3De/k5/QLyqZTweKUC78G8iP93/RhU1jZJHv5iTCo6jEkJRtTKipQMei1S\nEs146NpRWPzhLklx0qZ9/lZrNfUO7ODkjkLBy0y1hZ5stLFajBKhdpebbWO5fk8J1u8pwdKF5+Kb\nzSewcv0xvDh/kqSKvDPAe7Z4JQCe9G5xze4akxRvxM0XDQ4oBqN0fhLjjSitsgcVLf+LgvZjTqYV\nS+47J+Tn//ECgtzuVmESKGf6qGz8uus0Zp2VE/6ggyD3rgLUCO1IhPN0/4phmLniBYSQJ1tpPJQY\np6quSfK+srZJaBXYWbA1usIyQl1uvxE6tHfwfKeEOEPQwhGzQfmnvOjWCfh4zRGJTh9/A+ZD+LwB\n+c/3tuN4ib8P9Gtf7JP0hebxen0BobEzVXbodRokJ3YuA43nrCGZghG683A5XLIOULyW5v5jlVGT\noGoLth4oFaS95s8NLhodKUoheErn57aLh+CTXwsCisuihUajUS1UAoDrzh+Iy8/pFzUdT6U8+owY\n7sTX0QhnOnCCEHKleAHDMI+10ngoMc6FZ+UiKd4o9PuVC7l3VGpFckDyzkVqOEVG6O2XBu8gFAqx\n9qWYOJMe18wYiFkT/F4FAyehYhEZoT6fT2KAAlA0QNlxS73VPp8PxZV2ZCZbAsJpnYXzxvYScnDf\n/voglnEdg+R0luuR5+1vDgqvm5tTR4ktUhLNuOPSYWFNpFsDrUYTVSF5vU4rNM+YNSEHt10yRCgA\npbQ/4TwxZgH4pbUHQqEAbNXtS3dPxoj+rIRGk7NzPPTLa/0e3HCNUDdnhE4cmhm2PI4a3VMsuGnW\nIDx3x0S889B0yTqTUYcrp/m9Gnx4lu9i0+hwS8Tt5QztnYwX50/CCK5j06Z9pXjs3W2ot7Nh/roG\nJxxOT4DcSmeD9OqmuLxA1J6yQuap7yzEov4uhcJz46xBePeh6bhyWv+QOsyUtiUcI3QTAMkTihBy\nX+sMh0Jh4asXHR28MGnN70U4eKJKksta3xjYz1wJ3hMaiQ6oGhqNBlNG9EBatzhoNRoM7Z0cMNtf\nMG8krjmfCJ1P4ri/sb3JDVuj1NjndUQBQKPVINlqEgzlD1YdRlG5TRCU5o3ucDuqdFR6qKR9FJXb\nhBSGA8eVOw91VHiN1UdvGBtiSwqla0ML6Dom4fi8kwAcJIRsAcDHHM8C8FKrjYoS8/BJ8dGqjn/3\nu4Mw6nW4/vyBUbsZOV0evP8zK3NzwwV+6aSquiYs/uB3zBjTE2O5tAI5Hq8XD7+9FYA/PB5NFswL\n1GYc2jsF08b5e6hrtRqYjDo0OtxolHmce6TFY+dhtiiJnwgYZYUKdZwn1Mb1rI/v5F1xeM1DOf/9\nkRFel1ba4XR5OoQUFQAcPFGFw6dqMGeKsjB/rd2JXhkJqgVtFAqF0p6E44IZBOAJAD8DWMf9C+yp\nRaFEET4nqL4xvNB2MD5ecwSb9pXi112ncayFXXEOnKjCCyt2odHhRoOoR+7vh/1V5N9uPgnmVI1E\nfknOyvV+0fdoeEKbi8Wkh93hRpODNTSz0+LxzoPScD7fj17ePIDXBj1azIarO3vINxztQB+AI6Lw\nvJxVO05h64FS1fXRxO3x4oUVu/H1phOoUWhR2uRww+H0dPrvhUKhdF3C8YTeyjDMFvECzitKobQa\nfBixrDp4S8lw+GnbKeF1ZW2TYseYcHlxxW4AwPyX1ktEvksq7Wq7KLLt0BnhtSFEb93WxGLSo8bm\nEHJvzxvXC1qtBlNGZOEbrnsQryS175g0FN3Q6MKbX+7H9nxWyF4uAdTViDfr0dDkDlBw4LE3ufDR\nL0cARN6BqDmI24y63d6A9bxh2tnTJCgUStcl5NNPboByzGmFsVAoAhazAXEmHfYdq8QyTn8zGjhd\ngQ/r5nJGZCBXqhgmStXUDpcHFaJCJrXOJG1BnEmPRocHKzewEkSJXEVsWlIc/vyHwQCAMYTND5V7\n1JhTNYIBmhRvlHTR6ezcc0UeFt02Afdd5W9F2ZvrFMN7jeWU17Rd0ZLX58PzH+0W3jsUjNDSygYA\nnd9DTaFQui4hjVBCyHFCyDHxPwAPt8HYKDEO7yHcsLckxJbqiD2OQKAYvhJNTje+3nQ8KpX5z320\nK2DZ+z8xkvft6QmNM+nh9flQxfWaz0zxe3fPHpaFf/75LFzIiUb/+Q+DJb2dbaJUiZROqg+qRs/0\nBHRPsQgeeQBCoZc8f5anLeWbKmoahTQJgBXYl/P0sm0AoBiqp1AolI5AOE+/nwFM5/6dD+Ah0G5J\nlDZAXPzx87ZCPLl8u+TBGw5vfXVA8j4cw/LDVUfw5YbjuOtf64V8R55IOwIpaW2KcwrHD87AeZw+\nZXsQZ5Kej0XWdz07LV5or5eWFIfX75uKZ26fEJAfOkSl+0lnY87kPsjJTEA3K+s9FBf0pHKeXrVi\nObERGul1GilyNQMlDz8/zjFEuTiOQqFQ2ptwwvG3MwxzkvtXwDDMpwA6T8sQSqdFXG29Yk0BTpTW\ngzlVE/b+OxVaTobjCS3hwpgA8PR/dwqv1+0+HXL/YEVGx4rrUFzRIOktf8elw4TORe3BqTKb5H04\nXtnMZEtAS7+pnaiLUDAumdwHj980XhDdF/e35r3EP/5WqLiv2EO6+IPfJd9ztOE1WnnpKHkDAQBC\nW8SunqtLoVA6LyGffoSQG0RvtQCyAFDROUqrc+H4HPz7a6kn8/2fD+OZ2yaEtf+SlfsCljmcwT1U\nZ6rtOFqsXEH/+bpjIY/Jqz9NHp6FjftKkJtpBcB2FXrqvzsAABnJzevX3RpU1krzGMOt1DcZdYI6\nQFqSuUtLAF0zYwBOVzRIvrc6u1PIn+VpFOWKHi2uw+qdRZg5tnW83Lw2a0ayBUXlNsU81VqbA4kW\nA9VHpFAoHZZwnjgL4Q/HTwVgBXBjSw9MCEkhhLxNCFlICHmXEJKpsM04QsgHhJC/EUL+Qwi5taXH\npXQezhqSGSC4nh6BsTMox98B545LhwJg9TmDsftIheq6bgls3uONswYhJyMBF03IxZL7pkq24fvB\n873eT55hw/F1oi5K0aj4jxYP/3GM5L1eF57B0jM9QXi96LYJ0HZhQ+e8cb1w46xB0Gm1Qu6rUoW8\nPCf0Q65SvjXgGyJkp7MC+7xmq5gam4NWxlMolA5NOEboAwzD3MT9uxnAUwzDFETh2IsA/MIwzLMA\nvgTwgsI2WQBeYRjmBQB3AXiOEEJjSzGE3DO3/3hVWGHO9XuKkV/Ihu7feWg6cjiPpNvj3/d4cS3e\n+mq/JE9UqWcxb1h6vF5YLQZMHdEDj988HldM64c4k14IRc8c01MwmgfldhMKd1asPoIdXBW5mOmj\ns0OeR2uTk2nFvVf6K8DD9ZoNFLW41LdjYVVbc8F4tkjrdHlDwDqlgiWXQtV6Szl8qgYVXCV+T84I\nrbX5jdCjxbUoKrPB3uRut/7fFAqFEg7hJKONBvCd6P1FhJC5DMNc18JjzwbwNPd6E4D35BswDPO1\nbJEbQMvVyymdBqNCeHjboTKcNSTAcS5h+Q/5wmutRgM9V0jjERWMPPLmJtTbXdjJlOM/nEC7ktFg\nb3IhKcGEJqdHsTDpuvMGoEdaPM4Z2QMejw8nz9RjcG6ysP7n7acwfnBgccg1MwYEPYe2Io/rCR8J\nXa0aPlz4/vK/7jqNScOzJOv4cLzZqBOKgsqq7cgWeY1bClNYjcUf+hUXeI90bQNrhHp9PkkeM5Vn\nolAoHZlwjNB02fsvEKZOKCHkJwBK1sJjADIA8KXDdQCSCSF6hmHUypf/AmARwzDq7UpEpKdbw9ks\n6vt2ZjrieVutgeH3Rrc3orGmp1uh5brh6Aw6YV8+r87j9QnLDMbA1pMmiwll9U5U1zuQ292qeOzr\nsvyewdxerAFq0GsFo3bbIaknVKsBumcmtku+XrC/Xbh/1wl5erz99UH8YXKfDnndKBGNcaanWzGs\nXyr2H61EQmKcpKjMB/a7XPLAubjl6VUAgHV7S3HrnGG4+pHvcd2FgzDvPKL4ueHy+9FKyfu8Qezt\ntcnF/iaqZWkCGWnxneb7iSb0nGODWDxnoGudt6oRSgjxgu1SB0LIfNEqB4D3w/lwhmEuCPL5ZWDz\nS2sAJAKoVjNACSHXAohnGOapcI4LQOiPHSnp6dZm79uZ6bDnLfJc9stOxNHTdaiosoc91jEkHeXl\n9UI1cYPdqbjv6eIaGA06VNcGdj4qKq7FovdZ71JxRUPYx3757smY/9J6xXV6nRYVFTbFda2J2vc8\nd0ofeLy+iK6BJfdNhcmg65jXjYxoXt9pVtYLnH+0XPBE+nw+rNtVBABosjtww4UE//2RgV4DPPnO\nVgDABz/mY8bIlqkINIpyP3VaDeByQ6/ToLya/U2cKJUW1Rk0zb8XdlY67L2sFaHnHDt01vNWM5xV\njVCGYbQAQAh5nGGYx1thTN8BmAjgFIBJ3HsQQrQAejIMU8i9/zOABIZhniKEDAfgYBjmcCuMh9IB\nsVr8nsmpeT1w9HQdft1VhKG9k9Er04qEuEDPJcCGIWsbnLjt4iEA/HmLO5ly7D9WGdDXvbDMBotJ\nL+kBz9PQ5M8AiSTHL86kxwPzRuJ5rtVnVqpFaO/Znv3ilbh4Up+I92lPaan2hFcCKK9uRHq3OJgM\nOkmOqMmow6Ac1hve0OSSiPq3FHHxU4+0eGg0GpiNekE6rLpeKkzflbpYUSiUrkc4OqGPE0ISCSFD\nCSEaQki07moPAziPEPIogMsA/I1bnge/QXopgBcBzCGErAXwIahGaUwh1godx+VVNjo8eH7Fbjz1\n3g7V/ewON/pkWWHQszmc4qrvf32yJ0Bw/H8/MXj0nd9QeIb1Tj58/RjMO7c/AKmW5typfSMav1lk\nqD32p3HCa17eiNL5SEtipZpe+2If7nxxHcprGvHyZ3uE9VqNRpBvqmtwIivVErVji68b/vq0NbpQ\nXNEAt8cbYIR2T4nesSkUCiXahKMTOgvAMgAFAGYC+IEQ8gzDMD+35MAMw1QBCJBcYhhmN4Dh3Ouv\nACS15DiUzo1VZISajXpkJscJPdvLapSljlxuL1xur6TFJC8+roZctL2b1Yhkzov0xXq/PujsibkR\njV88BpMxsm5LlI7JIFHRGQA89NaWgG3iTDrodRrU2Z3C9Qqwuqwt0VRt4Lyqud2tGCBSKACAtbtO\nCwVKPL0yolcURaFQKNEmnJjgNQD6A9jHMEwTgBkArmjVUVEoHEP7pGDg/7N33mFSVecf/8zMzmyv\nsCy9w6EISBEEFMFuUGNNbFGj0cRYotEoP0tiOvYSTYyKMYkajVGjRolRFFGkKIL0AyxlKcvusn22\nTvv9ce+dvVN2d3aZmZ3dPZ/n4WHmlplz9t65971v+b5DcrjqTK2g47LTxgas33kgtIOSEbJMNbWg\ntFo7VgCUnmIPK9fUUT1MR1A1vSF4PqUTFemKxMCcIhLMvClaxbzFYiFLTwk5XNGSZ/yzP31xVN9t\nPHjdfMGkEGmsVz7a6feE3nvlDF649/ReJZ+lUCi6H5FcofZLKf1uIimlFwgVyVMoYoDDbmPR5dM4\n6VhNU3PSyEDjLbjjD7TkcKZFmLN45qyhIcuSHTbSg4zQG847JqLPM5Obmcz3Th/LfVdpTcZ+d93x\nfO8MwfXnTuzwZykSg7YeRE6c3JItlJ5ip6KmKWQbbxidW4/XG5H+7e5DNTjs1lZF6L/YfBiA/nmp\n5CdQZy6FQqEIRyR36YFCiDmATQiRD5wOxKYXnULRQf71aSHHjOwTUKBUoXuDcjLa10gcMSCLA6ZQ\nfHpKEqfOGILVYiEtJdDjNbSToc0F0wb7X1utFhZM7XqRekVsMDoYAQTblFnpDmrqmqmtd5Gd7sDl\n9vLUm5sYNTCLpWuLGDUwizsumdrqZ3u9PpwNLsYOyQnwcH7/rHH8xaSLC72rgYBCoei+RHKl+gWw\nGPgBcBj4IS1FRApFl1JR08Qf3tgYsGzFhkMA7ebe/fuhc7nnysC2ld+aPYxvn6BVigd7UvvmqEpj\nRdukOFrOmQNlLQ8308bmM2u8pulptPyURZVs2l3Ovz/fQ1Ozh617KympDJUIM6jX00yCFSGCH5YA\nkhJMfUGhUCjCEcmV6ljgZjQtz2wp5Twp5d6YjkqhaIMbz5+EOSK662Bg/4KteytIcdiYOS6wT8L3\nvzUu4L3NasFqsXDpqS2diwb1bfFkmXNC7UnWdoubFL2bJ39yYsD763R5MIAfnD0+pO98uEK1cOF7\nA0PqKThNJCXoc4zzWqFQKBKdSMLxS4BzzHmhCkVXMl3k8+zP5nPdg8sBLey5Y38VY4fkUN/opq7R\nzeRRfUJu8idOHshf3tfCllef1WKQDuiTzrM/m48sqmL88JbKZ/ON/Ny5w2M3IUWPINg4nD2xPwP7\npOOwW0lxJPk1Ow1DM1wKaF0bmqLGuvQgT2hOZmAL1QhSSxUKhSIhiMS186mUcrV5gRDi7BiNR6GI\niGCv5D8/2QXAkWqteri9UHywpyjJZmXiiLyQ5UZ/95nj2+5Vr+hdnDh5QMiycC1Yh/XPZEAfzbue\npxuLFbWaJ9TlCW18sOT9bayTZRQeDO1ObBTcBYfj+wYJ0ocrfFIoFIpEJBJP6G4hxGvAR2gtOwGu\nAP4Ts1EpFBFw4UkjeeNTTcOzuLwOr8/HEb1aPj+77cpgH5HdqE87bginHafq8BSBXHXmOC5eMJr0\nlCSufeAThvVvv5dzdkaLgD2E777V1Ozh6bc2AfDCopMD1hnh+GDpsGSHjd9ffzx3P7daeUEVCkW3\nIhJP6OVAPTAHWKD/U+W9ii7nW8e3CMc3NHlYunofpboweN9WPKGjBmUBUJCrOskoOo/VaiEj1Y7F\nYuHPd5zEPd+b3u4+mamaEVqrG5PudlrAmgubAH/L1345oQ9YBXlpXH+Okv1SKBTdi0g8ob+WUj5j\nXiCEWBij8SgUEWOxWJg5vh9rt5UCsL2oii17KgDID3OjBrjt4insK3EyNqjbjELRWYzWsO3hsFux\nJ1nZvLuCZesOBKgv3HvlDH7zt8A2tL/92zoev+UEkvWGB/tKagEYWhDe63rs6L6Apk2rUCgU3YFI\nesc/E2bZe7EZjkLRMc6ZM9z/2lzU0Vq/7rQUO+OD2i4qFPHAnDP68oc7aGzWJJeuO3sCIwdmhWzf\n5PKwYecR//viI/XkZDhCckINkh02Hrphjr8xgkKhUCQ6SnNG0a2xm/QQ9x7WPEVpyUkh7TIVikTA\nnAd66IgWXjdyPOdO6h+yvVHE5PP5qKlvJjujbS9nn+wUctrZRqFQKBKFyPoaKhQJSjhj86zjQ9tw\nKhSJxn495zND70X/nQWjyUx1MH1cPs/8ewvlNY00NnnYU1yDzWrB5faS3Uq7ToVCoeiOKE+ooluT\nk5HMLRdODliWna48QYrE5MbzJ/lfl+tyYpl6eD0zzcF3Th7NqIHZ3HjBMQA0NLn59V+/4v6/fKlv\nEz4Ur1AoFN0RZYQquj3Hjukb8D5LeYsUCcp0kc/FC0YBLaL1Gamh56vR/rPwUE3A8qw0dW4rFIqe\ngzJCFT2KfrmpjB4UWuShUCQKDr2a3ofWYjM1OTSlJFXv9rWnONAIzVRGqEKh6EEoI1TRo7jz0qmk\npaiQpSJxMRfTpetao8EYntBgstLVua1QKHoOqjBJ0SO498oZ7D1c4+/PrVAkKmYjNKUVFQeHPbx/\nQKWaKBSKnoQyQhU9gpEDs8JqLSoUiYbDZIS2ZmyG844C5KiiO4VC0YNQ4XiFQqGII+YOS5F2WwKt\nFe3A/PRYDEmhUCi6BOUJVSgUijhizus0e0Xb4pEb55KZZsfaiodUoVAouiNdZoQKIfKAxcBuYAxw\nt5SypJVt+wHrgd9LKZ+K3ygVCoUiupg7Gh3QBevb4meXHKv6wSsUih5JV4bjfwd8JKVcDPwbeDjc\nRkIIK/Ab4Ks4jk2hUChigllwvq7R3ep2Fy8YRXaGg+EDVK6zQqHomXSlEboQWKW/Xqm/D8ddwBKg\nMh6DUigUilhis7ZcdmdPLGh1u7NmDeOxm04gNVllTSkUip5JTK9uQogPgHBX2Z8D/YBa/X0NkCuE\nSJJSuk37nwzUSynXCCFu6Mh35+dndnLUR7dvd6Y3zlvNufeQiPP+6eUzSImhkZmIc44HvXHeas69\nh54075gaoVLKM1pbJ4QoBTKBKiALqDQboDrnAoeFEIuASWiGap2U8i/tfXdZWW17m4QlPz+z0/t2\nZ3rjvNWcew+JOu/amgZiNapEnXOs6Y3zVnPuPXTXebdmOHdlnOc9YDawH5irvzdyQAdLKYuklLca\nGwshxgFfRWKAKhQKRSJz0fxRVOq94xUKhaK30pVG6N3AA0KIscAo4A59+WTg72ieTwCEENfoy/sI\nIQqllEvjPViFQqGIFt86flhXD0GhUCi6nC4zQqWUFcB1YZZvwGSA6steAF6I09AUCoVCoVAoFDFG\ndUxSKBQKhUKhUMQdZYQqFAqFQqFQKOKOMkIVCoVCoVAoFHHH4vP5unoMCoVCoVAoFIpehvKEKhQK\nhUKhUCjijjJCFQqFQqFQKBRxRxmhCoVCoVAoFIq4o4xQhUKhUCgUCkXcUUaoQqFQKBQKhSLuKCNU\noVAoFAqFQhF3urJ3fFwQQowCfgN8DQwGyqWUvxJC5AGLgd3AGOBuKWWJvs/PgCwgF/iflPIdffm/\ngRzTx18spSyL22QiJMpzHgD8EKgF5gB/k1K+HecpRUSU530Q2Kl/tANollLOj+N0IiLKc/4esAAo\nBGYA1yfi+Q1Rn/elwAnAQf2zfiqlbIzzlNqlk3OeDjwKfCmlvMP0WccCNwJ7gH7AHVJKdzznEylR\nnnc2cDdwlZSyf3xnEjnRmrMQIhf4I/AN2rmfBfxESumJ85TaJcrH+W9ov+cGYBpwXQ+7loWdt77O\nCiwFaqWUF8VvJp2jxxuhQB7wqmE4CSG2CiHeQ+tb/5GU8p9CiHOAh4HvCSFmAQuklN8SQiQB24QQ\nn0opq4ENUsr7u2geHSGac34a7YJdK4R4HsjumilFRDTn/VMp5Wv651wNJOQNmijNGe0h4xlgsJSy\nUgjxBHA98NuumFQERGveycAjwDAppUsI8QhwA/BYV0yqHTo0Z32fScCnQJrxIUIIC/AScKqU8rA+\n56uAJfGbSoeIyrx1TgDeAK6Ny8g7T7TmnA58KqV8Rv+cpcB5aH+DRCOax7lQSvlL/XN61LVM36e1\neQP8DM2R0C/mI48CPT4cL6X8MshzZwXqgIXAKn3ZSv09wNnGct0zsA04SV83RAhxtxDiHt1rlJBE\na85CiP7AMOBKIcQdaD+K4tjPoHNE81gbBqjOxYD5fcIQrTlLKb1AKZCvb5cHbIjt6DtPFI/1MDTP\ng0vfbjdwSmxH3zk6MWeklC8C3qCPGgmkSikPh9sn0YjivJFSvod2nic00ZqzlPKAYYCaPscZizEf\nLVE+zr80vR0FbI32eKNFNOcthFiA5v1dG6vxRpseb4SaEUKcD3wgpdyO9pRQq6+qAXJ1D4l5ubHO\neKL4s5Tyd1LK3wJnJ7IhanCUcx4GTAHel1I+jJaKcE+8xn40ROFYG58zH1hlMlISlijM+XrgWSHE\nU2gh6y/jMvCj5CjnvQ3IEUIYxvdMtJBlQhPhnFuj3fM+UTnKeXdLojVnIcRx+r7/i8lAo0g05iyE\nmCmEeB04BLwTs8FGkaOZtxCiAPiulPLJ2I80evQaI1R/QlgA3KYvKgUy9ddZQKXuITEvN9aVAkgp\nzU8XnwAnx3LMR0sU5lwDlEkp9+jLPwfmx3jYR000jrWJH6KFqROao52z7vV+HjhHSnkT8AHwVDzG\nfjQc7byllE7gXOB2IcQtwH6gKB5j7ywdmHNrRHLeJxxRmHe3I1pzFkJMAm4CrpBSJnSv7mjNWUq5\nVkp5MXAY+H0sxhpNojDvs4FKIcQiNK+pEEIsEkIkx2rM0aBXGKFCiIXAGcBPgP5CiNnAe8BsfZO5\n+nvMy4UQdmA8sEIIkSmE+LnpY8eg5V0kJNGYM1phTp2ezA+aZ3RHXCbQSaI0b+OzRgI1Usoj8Rl9\n54jSnPsAXiml8eRdDKTEZQKdJIrH2ielXKR7EKzA3+Mzg47TwTm3xm6gQX/wiHSfLiVK8+5WRGvO\nugf0JrR0Kp8Q4uzYjPjoicachRD5eh6/wR60FJSEJRrzllIukVL+n5Rysb6tlFIullI2xXDoR43F\n50voh6KjRmhVZJ8CX+mL0tGKbd4BHgD2oeWMLJKBVbS5+r+lUsp3hBApwMvAFsACDAJullLWxXE6\nERGtOevLT0BLhi4CBFoVbUJ6TaI5b33dY8ASKeXmuE2ig0T5WP8C6I/mDTwWuF9KmZC5VFGe95vA\nLqACqJZS/imOU4mYTs75SuBqNIWHv0kpn9WXHwvcrO+TR2JXx0d73legFZ/9Hu33nXB57tGasxBi\nMNo9ayPgAWzAMpmABbZRnHMuWlRnE1pB6VTgXinltvjNJnKieX7r604Bfox2v34qKCc44ejxRqhC\noVAoFAqFIvHoFeF4hUKhUCgUCkVioYxQhUKhUCgUCkXcUUaoQqFQKBQKhSLuKCNUoVAoFAqFQhF3\nlBGqUCgUCoVCoYg7yghVKBQKhUKhUMQdZYQqFAqFQqFQKOKOMkIVCoVCoVAoFHFHGaEKhUKhUCgU\nirijjFCFQqFQKBQKRdxJ6uoBxAK32+OrrKzv1L65uWl0dt/uTG+ct5pz76E3zrs3zhl657zVnHsP\n3XXe+fmZlnDL42KECiFOBS4ASgGflPKXQevvAvoDxcAM4OdSyu1CiOOAW4H1gADWSimfa+/7+qM+\n8QAAIABJREFUkpJsnR7r0ezbnemN81Zz7j30xnn3xjlD75y3mnPvoafNO+bheCFEGvAMcJuU8n5g\nshDilKDNMoCfSikfBN4AHtKXDwCekFI+DPwYeFAI0TfWY1YoFAqFQqFQxJZ4eEJnA/uklE36+5XA\nQmCZsYGU8j7T9lbAqS9/J+iz3IArdkNVKBQKhUKhUMSDeBih/YBa0/safVkIQggHcBVwY5jVNwG/\nk1JWR32ECoVCoVAoFIq4Eg8jtBTINL3P0pcFoBugfwLukVIWBq27DEiXUv4m0i/Nz89sf6MY7Nud\nyc/PZM+halZvPsx3Th2LzRo2j7hH0RuPdW+cM/TOeffGOUPvnLeac++hJ807HkboKmCYECJZD8nP\nBf4ohMgD3FLKGj1v9GngYSnlFiHEhVLKNwCEED8AMqSUvxFCTAKapJQ72vvSsrLa9jYJS35+Zqf3\n7c4Y8777jytxNrjISrExc3xBVw8rpvTGY90b5wy9c969cc7QO+et5tx76K7zbs1wjnlhkpSyHrgB\neFII8Rtgo5RyGbAIrdgI4CU04/RpIcRyfR1CiG8DjwDn6ctfAQbGesy9GWeDlnJb7Wzu0jEY41Ao\nFAqFQtEziYtEk5TyQ+DDoGV3ml5f0Mp+bwPZsR2dwsDn8/lfe7y+NraMLbc88RkALyw6ucvGoFAo\nFAqFIraojkkKP3WNbv/rZpenS8Zg/l6zUaxQKBQKhaJnoYxQhR+zAdjk7hoj9JvCcv/rytqmNrZU\nKKKPz+fj843F1NR3XTqKQqFQ9BaUEaoAoMnlobqu5ca7dHVRl4zDZTJ+N++p6JIxKHova7aW8ML7\n23ji9W+6eigKhULR4+mRveMVHWPDziM8+cbGrh4GEJiLWlLR/frjKrovf/tAsnz9QQD2FHe/6lOF\nQqHobihPqIKVm4rDLu+KnEyzEVrlVOF4RfwwDFCFQqFQxAdlhCqobUUOqbE5/nmhHk+LEdrauBSK\neFCr8kIVCoUipigjVIGzwUVmmoNJI/sELG9ocreyR+wwe0Jr65URqog962QZ1yz+OGT568sLw2yt\nUCgUimihjFAFzvpmstLtXHfOBE6dPphxQ3MAcHeBVqjH6zWNSxmhitiyfV8lT7+1Key60sqGOI9G\noVAoehfKCO3leH0+nA1ustKTyUi1c9lpY+mflwaAx+NtZ+/oYw7Hq65Jilgj91eFXZ6ekhSVcPzG\nwnKuWfwxsqjyqD9LoVAoehrKCO3lVNU24fX5yEp3+JfZbNpp4XJ3gRGqe19tVgtNLo8yRBUxpVmX\nBLv8tLH+CECSzUp6qp3i8nrqGo/u/Htcl3p64JX1LN+gCp8UCoXCjDJCezmGFqc9qeVUSLJZgPi3\n7nS5PRQeqgZgxMAsAAoPVsd1DIrehculPWiNGZzNnZdN4/GbT+Cxm+eSnqKp1x2pamz3MzbvLufR\n1zbQ2Nx2DvXf/iuPfsAKhULRg1BGaC/HEKhfMGOIf1mS7gl1xzkc/8L729m8WzOK8zKT9TEkVuvO\n6rpmHn/9G/YU13T1UBRRoFn39hsPYVnpDtJT7EwYngdoTRzMeH0+vCbpsmXrDvDoP79h854KXvlo\nJz6fD5/PR5PLQ7PLQ7Ld5t/WarHEejoKhULRrVBi9d2cg2VOcjOTSUuxd2p/Q4szPyfVv6zFCI2v\nAbhma4n/tWEUeBOsf/zf/rudjYXlbCws59mfzff/rRTdEyMc70iyBSx36MZjc1D72t+/tI5qZzO/\nu/54kmxWPlp3wL/u843FrNlawtlzhvPWit3+5TPG9eOr7aUM7JsWq2koFApFtyQiI1QIMQ+4CpgE\n5ANVwE7gdSnl67EbnqItGprc3LdkLSkOG3/86UkR7XOkuoHDFfWk2JMYPTib4iN1WIABfdKprdGq\ngf3heI8XZ4OLippGhhZkxmoaALy7ck/Ae8MoMFfLdwVFJbUcqW5k2th8ANbvPOJfd+hIXcz/LorY\nsnqL9uBjtwc+TBgezKbmlvOv2tlE4UHNA77zQDXjh+XiSArcz+X2BhigAPMmD6DwYHWIV1WhUCh6\nO+0aoUKIx4ARwIfA24ATSAUKgDOFEFcA35VStp88pYgq9Y1aDlqkovJFJbXc/5cv/e+X3LWA/aVO\n+uWmkpKchNGo0GbVC5M8Xh58ZT0Hypz8/ofHU5AbO0/OW58FGqEZqZpn19sFMlFm/v6BpPBQDZef\nNpZTpg8OWLdpd7kyQrsx5nMrxR7sCdV+A2ZPaGlVi2TTQ/9Yzy+uPi6i83PM4ByS7Tbqj7LISaFQ\nKHoabRqhQoi5wDIp5X9a2eQFIcQE4ELg5WgPTtE2HfWsfL2jLOC9s8FFXaObMYNzApYbofA/vNGi\nn7i3uDamRmgwRrV+vIujgik8pHm+Xv5wB8dPLAhY98anu1k4e3gXjErRGZwNLiprmxjSLwOAVVsO\nA9q55ggyQv2eUNNvrNoZKNm05L1tNDa76ZOVQnlN4DP4uKE5bC/S5J8cdivJDhsVteo5XaFoi+q6\nZlLsNpIdtvY3VvQI2kxok1KubMMARQiRKqXcKqVUBmgX0FEjNLgXuyF/lJ3hCFg+Uq9MN1NTF98W\nhmnJ2vNRVxqhvqB81Gfe3gLAhOG5/mWJlrOqaJ1HX9vAL15YS2llPaAZkQBzj+kfsq1hhL73xV5u\nfnwFK7455PeEfu8MAcCBMie19S5Sk5O4//vHBew/f+og/2uLxUKK3Uazyxv3Yj9F52l2eVQKRRxx\ne7zc9ofPuf/FL9vfWNFjiCQcP7SN1b8Evh+94Sg6wta9FR3aPrgNpuGpMULfBgP7pIfs29CO/Ey0\nSE1O4sTJA7DpealdGY5fu6004L3U/14/PHciL/1vB19uL6WssoGCPFVw0h3Ye1hLONl1sDrA85md\n7gjZ1jBCy2u0B7cXl273r5syqg9/1183u70M658RkpYxXeQHfp7u2bn+oeX84dYTSe9kIaEiftz1\nzCrcHi9/uHVeVw+l29HQ5OapNzexcPYwv9JEexiOjpKKenw+HxalJtEriKQwaTNwBLAAQ4AS/XUB\ncCh2Q1O0xxufthRAtPajdTa4OHSkjhEDsthYWI7VYvF77/61fBcAmUFGqHHDtCdZufy0sby4dHvM\n+8jbrBYcdhuP33wC9iQr66RmAHalJ7SotDbgvdvjJT8nhcw0B2MGZ/Pl9lL2HK5RRmg34/n/bAt4\nP2FE6E3SYW89SJSXlRLwvm+2pixx4Ukj/b9Jm9XKr66ZiXH2mnV4D1fUM2pgdmeGrogTzS6PX77O\nwOX2UF7T5O8opwilytmELKoiyWZl275Ktu2r5IVFJ0e0b42pQ1mTy0OKQ4n39AYi0ZdZLKUcCfwN\nGC+lHCSlHAiMA1RlfBdyqqlQprWw8Ev/kyx++WveWrEbj9dHWkoSZx2vObcbmrRQU0ZaqFfmyZ+c\nyGM3ncDYITkB28YCn8+Hx+tjSL8M/83aau16T6jRMcrs1cpK07xmORmajunBsrr4D0zRKQpyU0OW\nXX/OBAbnZ4QsT7aHz0k7a5b225k8qo9/maEmUVUbaLQM7pfhzz8tMxU1NbtUSL6zBKfIRBOvz8fr\ny3exfV8l9aaHbuM7X/+kkLufXc32faoFa2vc/vRK/vzOloDzPZKUpc27y/nVi1/53x9Q19VeQ7tG\nqJTyd/rLEVLKnablO4HQ5EFF3LjM1GqwNWPtm8JyAP67tgiAM2YOYf6xgwK2yUgNDUdmpNpJS0ki\nVfeKttcN5mgwrlE2a4sn15YARqihOmAYnNCSumD8/96qfarquZvg8fpIS04KOM9aK4AwG6GXnjLG\n//qi+aMAmDqmr3/ZuGFajnC4hzkDQ+ILoLquqdXtFOHxen1c9+AnXPvAJ+zYXxWT79i6t4Klq4t4\n8B/rAyI/Rh7vio1a4M8oaFOEYlzLj1S3GKHVzmbWbC1pNZrm8/l49J/fBCwrPFiN1+tj6Zp9ca9H\nUMSXjvi7hwghzgNW6O/nA6OjPiJFhzBulm6PD3uYo5mT7qCkueWCkOJIChCmB+ibnRK8W8v2eoFQ\nfQzD8UbI3WoyDozX7i40Qpv8RmiLkW6MxxyC31Ncy8QwIV1FYrCnuIYfPPgJXq+PYQWZjBiYxfL1\nWh/34Kp4g8y0lmOelpLE4zefgMfbkvJiqDfYrBZ/aP1bxw9lQJ80Zoh+IZ939pzh9MlKYcl729h9\nqIbjJ4QWQylaZ+veCv91Yn+p0x+hiSallS3XSfP1zuXWrq39ctI4UObkSLVSOQhHZW1T2Nf/XVPE\nh1/tZ9zQHO68bJp/+eY95Tz62jfMGNfyezlh0gA+31RMfaObFd8c4vVPCnln5V7+FKEOtqL70REj\n9Ebgr8CbgA9YB1wdyY5CiFOBC4BSwCel/GXQ+ruA/kAxMAP4uZRyu75uNPAw4JZSXtSB8fYKbHrH\nntZyJxuCNEQNce30lCTqdJ3RgX1DC5HM29usFhpjGI43vJ0BnlBL13tCjSd3cw6YkQKRm5nMnGP6\n88Xmw6qCNsH5zV+/8udm9s1J8feFh9bD7mkpSUwe1Yf9pU4mDM/zG50Gk0f14cxZQ5k8siUsb0+y\nMXN8QfBHAVrLzjH+1Jb4FPn1JAwlD2hJk4k2HlOHuGBPaHl1IwfKnADs2F9FZW0TuZnJIZ/Rm7n9\n6ZX+1+amHnsOazJ324uqqG90s3ZbCTPG9ePR1zTv51fbtfz/U6YPZt6UgXy+qZi6Rk11AlqcAYqe\nScRGqJRyK3CcECJTf1/bzi4ACCHSgGeAiVLKJiHEG0KIU6SUy0ybZQA/lVL6hBDfBR4CztHXzQLe\nB06PdKy9CcNwa80IbQy64RmdYaaNzeezjcXtfr7FYiHFYYvpjdPvCTUVVrVnXMeDvYdryc1MZuqY\nfM6aNZSpY/MZPailoGTUoGy+2HyYtz7bHRBuVSQW5jMoPzuVNJMRGtzxyMytF09pteDPZrXynQUd\nCwTZ9XM6VkZUT8b8oOdyx8YoMV9rvtlV7n997/NrqDMZwR6vj083HOS8E0fGZBzdkbY62+06UO1/\nfdPjWiB10+7ykO1OnT7YH5k4Ut3I8P4q2683EFHjayGEQwitOkNKWSulrBVCHK+382yP2cA+KaXh\nn18JLDRvIKW8T0ppXAGsaF2ZjHUvAyoppBVsphabZrw+H68u20lz0A3PuBH276N598xeodbIzUym\nrLohZjdPI3HdFiYcv+Kb6AgwfLrhIOtkWfsbmsbkbHCRn5OK1Wrh4gWjAwxQaClYOFhWx4EyJ16f\nTxkYCYbb48VsQvbLTQ2QRzK8La0RTZkYo+hOnSMdx9wVzuWJzYOpWcN12boD/tfOBhfB31iuQvIB\nhDun27q3mD2lAPk5KRTkpZGT4WBAnzQ2Fpb7PagQeGyqnE0sfvlrVm5U4jw9gUh0Qk8H3gDShBBv\nAddJKSuBocCfgdy29gf6AWavaY2+LNx3OdB61N/Y/tDbJj+/8+0Uj2bfeNOkV9ou23CIWRP7c/9z\nqynIS+P0WcP435f7AZg2rh8l5XUcLKsjv28G+fmZfOf0cZTVNHHB/NH++bY279FDcjlQVkdSip38\nKHZNqqxtZPWmYmYdMwCA1FS7fwzZOdr35GQmH/XxKKts4K//lQDcd+0sZpry8Vr7bMODnJHuaHUb\nR3KLMbNlXxXP/Wcr+0uc5Oem8pPvTGVKgnpHu9P5fbSUVtbjA/pkp3DClEGcM380X29v0X8dPbxP\nq3mh0SZL9+ZZbNa4HYOecKyrnU289vEu/3u7I6ndeXVm3rYIzoNHfjKP259YAXE8hpHSVeM5UFpL\nTVOoETptXAGfbTgY0WeMHZbnH//xkwby1vJd7DdVyGfnpJGmPzy+s2ofO/ZX8fanhTx484lRmEH3\nI9HOvaMhknD8zWgh8T3A2cCrQojLpJT/FEI8EcH+pYD5L5alLwtAN0D/BNwjpSyM4HPbpKwsomyB\nEPLzMzu9b1eQplf3Lv1iL0u/2AtoYr9/X9qihfi908biSLKyfmcZg/NS/fO78rSxgPa3amveXo92\n8ywprcUSxVDYrU9+Rk29i6Ji7YnX7fIEjKEgL42iw7Ws/Ho/Y4fkcKSqgfdX76O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XAAAg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f9a6da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rolling_statistics(gbm)\n",
    "plt.savefig('../images/03_stf/GBM_rolling_stats.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DAX Index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c7127b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%run 03_stf/DAX_returns.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "DAX = read_dax_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RETURN SAMPLE STATISTICS\n",
      "---------------------------------------------\n",
      "Mean of Daily  Log Returns  0.000254\n",
      "Mean of Annua. Log Returns  0.063987\n",
      "Std  of Annua. Log Returns  0.218582\n",
      "---------------------------------------------\n",
      "Skew of Sample Log Returns  0.036871\n",
      "Skew Normal Test p-value    0.449487\n",
      "---------------------------------------------\n",
      "Kurt of Sample Log Returns  7.300400\n",
      "Kurt Normal Test p-value    0.000000\n",
      "---------------------------------------------\n",
      "Normal Test p-value         0.000000\n",
      "---------------------------------------------\n",
      "Realized Volatility         0.214515\n",
      "Realized Variance           0.046017\n"
     ]
    }
   ],
   "source": [
    "print_statistics(DAX)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2511 entries, 2004-10-01 to 2014-09-30\n",
      "Data columns (total 4 columns):\n",
      "index      2511 non-null float64\n",
      "returns    2511 non-null float64\n",
      "rea_var    2511 non-null float64\n",
      "rea_vol    2511 non-null float64\n",
      "dtypes: float64(4)\n",
      "memory usage: 98.1 KB\n"
     ]
    }
   ],
   "source": [
    "DAX.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>index</th>\n",
       "      <th>returns</th>\n",
       "      <th>rea_var</th>\n",
       "      <th>rea_vol</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2014-09-24</th>\n",
       "      <td>9661.97</td>\n",
       "      <td>0.006952</td>\n",
       "      <td>0.046055</td>\n",
       "      <td>0.214604</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-25</th>\n",
       "      <td>9510.01</td>\n",
       "      <td>-0.015853</td>\n",
       "      <td>0.046061</td>\n",
       "      <td>0.214619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-26</th>\n",
       "      <td>9490.55</td>\n",
       "      <td>-0.002048</td>\n",
       "      <td>0.046044</td>\n",
       "      <td>0.214579</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-29</th>\n",
       "      <td>9422.91</td>\n",
       "      <td>-0.007153</td>\n",
       "      <td>0.046031</td>\n",
       "      <td>0.214549</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-30</th>\n",
       "      <td>9474.30</td>\n",
       "      <td>0.005439</td>\n",
       "      <td>0.046017</td>\n",
       "      <td>0.214515</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              index   returns   rea_var   rea_vol\n",
       "Date                                             \n",
       "2014-09-24  9661.97  0.006952  0.046055  0.214604\n",
       "2014-09-25  9510.01 -0.015853  0.046061  0.214619\n",
       "2014-09-26  9490.55 -0.002048  0.046044  0.214579\n",
       "2014-09-29  9422.91 -0.007153  0.046031  0.214549\n",
       "2014-09-30  9474.30  0.005439  0.046017  0.214515"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DAX[['index', 'returns', 'rea_var', 'rea_vol']].tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
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Y7ieFOy42hqSEWMqqrDzyxmruuWKcu1JvRbUVm91BphmQbLU52LDz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a70b438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "quotes_returns(DAX)\n",
    "plt.savefig('../images/03_stf/DAX_quotes_returns.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ihceHnHOnu3nOB9IRTCQXnelo5dlDKwG4buJVHqc5t46jkwhVHCQ08igdh6YTayv0OpKI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\n/wMzYtEyJv8m3AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e755588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_histogram(DAX)\n",
    "plt.savefig('../images/03_stf/DAX_histogram.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f8f55c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wtGg6P39rHFOKipiSpbhF+osoyeUuM7sCeAFI1gHLSlVkkY7aU3alcxWAM1cY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\nERGRrFNyERGRrFNyERGRrPv/dCIJIuCjb/MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f89cbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_qqplot(DAX)\n",
    "plt.savefig('../images/03_stf/DAX_qqplot.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3HECeWTHebZTbMEQKTn9yeHzNlvf99Qu1+qeIHDTTjcGZzMjoKO1dwZis5PDI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\nUlD+f0D7DlCON824AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fc63c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "realized_volatility(DAX)\n",
    "plt.savefig('../images/03_stf/DAX_realized_volatility.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kv7DSLafutbuncNVpA7nl3KHef7ANOIY/NfsJ7uSxPTlmcMNwmOtNALgvhyc6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\ntWSm2Kio0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T15qE9onMXE5lUFtDh72Xe8aapFU0wD+j1eTtY4mZXlIMFmCXt/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\noQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f83ceb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rolling_statistics(DAX)\n",
    "plt.savefig('../images/03_stf/DAX_rolling_stats.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "32"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "count_jumps(DAX, 0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "count_jumps(gbm, 0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7309520999999999"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.0002911 * len(DAX)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8542422"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.0003402 * len(DAX)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Implied Volatilities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f8e7b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%run 03_stf/ES50_imp_vol.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "mats = sorted(set(data['Maturity']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['2014-10-17', '2014-11-21', '2014-12-19', '2015-03-20',\n",
       "               '2015-06-19', '2015-09-18', '2015-12-18', '2016-06-17',\n",
       "               '2016-12-16'],\n",
       "              dtype='datetime64[ns]', freq=None)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DatetimeIndex(mats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "dat = data[(data.Maturity == mats[0])\n",
    "        | (data.Maturity == mats[2])\n",
    "        | (data.Maturity == mats[3])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 164 entries, 0 to 466\n",
      "Data columns (total 5 columns):\n",
      "Date        164 non-null int64\n",
      "Strike      164 non-null float64\n",
      "Call        164 non-null float64\n",
      "Maturity    164 non-null int64\n",
      "Put         164 non-null float64\n",
      "dtypes: float64(3), int64(2)\n",
      "memory usage: 7.7 KB\n"
     ]
    }
   ],
   "source": [
    "dat.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "h5 = pd.HDFStore('08_m76/option_data.h5', 'w')\n",
    "h5['data'] = dat\n",
    "h5.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Strike</th>\n",
       "      <th>Call</th>\n",
       "      <th>Maturity</th>\n",
       "      <th>Put</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>1412035200000000000</td>\n",
       "      <td>3750.0</td>\n",
       "      <td>27.4</td>\n",
       "      <td>1442534400000000000</td>\n",
       "      <td>635.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>1412035200000000000</td>\n",
       "      <td>3800.0</td>\n",
       "      <td>21.8</td>\n",
       "      <td>1442534400000000000</td>\n",
       "      <td>680.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>500</th>\n",
       "      <td>1412035200000000000</td>\n",
       "      <td>3850.0</td>\n",
       "      <td>17.2</td>\n",
       "      <td>1442534400000000000</td>\n",
       "      <td>725.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>501</th>\n",
       "      <td>1412035200000000000</td>\n",
       "      <td>3900.0</td>\n",
       "      <td>13.4</td>\n",
       "      <td>1442534400000000000</td>\n",
       "      <td>772.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>502</th>\n",
       "      <td>1412035200000000000</td>\n",
       "      <td>3950.0</td>\n",
       "      <td>10.4</td>\n",
       "      <td>1442534400000000000</td>\n",
       "      <td>818.9</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    Date  Strike  Call             Maturity    Put\n",
       "498  1412035200000000000  3750.0  27.4  1442534400000000000  635.9\n",
       "499  1412035200000000000  3800.0  21.8  1442534400000000000  680.3\n",
       "500  1412035200000000000  3850.0  17.2  1442534400000000000  725.7\n",
       "501  1412035200000000000  3900.0  13.4  1442534400000000000  772.0\n",
       "502  1412035200000000000  3950.0  10.4  1442534400000000000  818.9"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['Date'] = pd.DatetimeIndex(data['Date'])\n",
    "data['Maturity'] = pd.DatetimeIndex(data['Maturity'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Strike</th>\n",
       "      <th>Call</th>\n",
       "      <th>Maturity</th>\n",
       "      <th>Put</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>2014-09-30</td>\n",
       "      <td>3750.0</td>\n",
       "      <td>27.4</td>\n",
       "      <td>2015-09-18</td>\n",
       "      <td>635.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>2014-09-30</td>\n",
       "      <td>3800.0</td>\n",
       "      <td>21.8</td>\n",
       "      <td>2015-09-18</td>\n",
       "      <td>680.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>500</th>\n",
       "      <td>2014-09-30</td>\n",
       "      <td>3850.0</td>\n",
       "      <td>17.2</td>\n",
       "      <td>2015-09-18</td>\n",
       "      <td>725.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>501</th>\n",
       "      <td>2014-09-30</td>\n",
       "      <td>3900.0</td>\n",
       "      <td>13.4</td>\n",
       "      <td>2015-09-18</td>\n",
       "      <td>772.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>502</th>\n",
       "      <td>2014-09-30</td>\n",
       "      <td>3950.0</td>\n",
       "      <td>10.4</td>\n",
       "      <td>2015-09-18</td>\n",
       "      <td>818.9</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          Date  Strike  Call   Maturity    Put\n",
       "498 2014-09-30  3750.0  27.4 2015-09-18  635.9\n",
       "499 2014-09-30  3800.0  21.8 2015-09-18  680.3\n",
       "500 2014-09-30  3850.0  17.2 2015-09-18  725.7\n",
       "501 2014-09-30  3900.0  13.4 2015-09-18  772.0\n",
       "502 2014-09-30  3950.0  10.4 2015-09-18  818.9"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = calculate_imp_vols(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3225.9299999999998"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wgGHDhpOYeIjQ0N+xdOkSAKZMmUZAQACZmSetrysouETPnr0BePnltezc+TFd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\nCNlk7ISYnXgrlnCD4q8uTY/rqELMSYRJOlIQBEGwTVUaNuu6AgF49lk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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f4ad518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_imp_vols(data)\n",
    "plt.savefig('../images/03_stf/ES50_implied_volatilities.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interest Rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f891b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%run 03_stf/EURIBOR_analysis.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/yves/Dropbox/Work/production/dawp/python36/03_stf/EURIBOR_analysis.py:20: RuntimeWarning: invalid value encountered in log\n",
      "  EBO['returns'] = np.log(EBO['1w'] / EBO['1w'].shift(1))\n"
     ]
    }
   ],
   "source": [
    "EBO = read_euribor_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1w</th>\n",
       "      <th>2w</th>\n",
       "      <th>1m</th>\n",
       "      <th>2m</th>\n",
       "      <th>3m</th>\n",
       "      <th>6m</th>\n",
       "      <th>9m</th>\n",
       "      <th>12m</th>\n",
       "      <th>returns</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2014-09-22</th>\n",
       "      <td>-0.016</td>\n",
       "      <td>-0.012</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.044</td>\n",
       "      <td>0.082</td>\n",
       "      <td>0.186</td>\n",
       "      <td>0.257</td>\n",
       "      <td>0.345</td>\n",
       "      <td>-0.362905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-23</th>\n",
       "      <td>-0.014</td>\n",
       "      <td>-0.012</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.042</td>\n",
       "      <td>0.082</td>\n",
       "      <td>0.185</td>\n",
       "      <td>0.257</td>\n",
       "      <td>0.343</td>\n",
       "      <td>-0.133531</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-24</th>\n",
       "      <td>-0.006</td>\n",
       "      <td>-0.005</td>\n",
       "      <td>0.007</td>\n",
       "      <td>0.043</td>\n",
       "      <td>0.083</td>\n",
       "      <td>0.186</td>\n",
       "      <td>0.257</td>\n",
       "      <td>0.344</td>\n",
       "      <td>-0.847298</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-25</th>\n",
       "      <td>-0.007</td>\n",
       "      <td>-0.006</td>\n",
       "      <td>0.006</td>\n",
       "      <td>0.042</td>\n",
       "      <td>0.082</td>\n",
       "      <td>0.183</td>\n",
       "      <td>0.254</td>\n",
       "      <td>0.342</td>\n",
       "      <td>0.154151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-30</th>\n",
       "      <td>-0.013</td>\n",
       "      <td>-0.013</td>\n",
       "      <td>0.007</td>\n",
       "      <td>0.043</td>\n",
       "      <td>0.083</td>\n",
       "      <td>0.183</td>\n",
       "      <td>0.251</td>\n",
       "      <td>0.338</td>\n",
       "      <td>0.367725</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               1w     2w     1m     2m     3m     6m     9m    12m   returns\n",
       "2014-09-22 -0.016 -0.012  0.005  0.044  0.082  0.186  0.257  0.345 -0.362905\n",
       "2014-09-23 -0.014 -0.012  0.005  0.042  0.082  0.185  0.257  0.343 -0.133531\n",
       "2014-09-24 -0.006 -0.005  0.007  0.043  0.083  0.186  0.257  0.344 -0.847298\n",
       "2014-09-25 -0.007 -0.006  0.006  0.042  0.082  0.183  0.254  0.342  0.154151\n",
       "2014-09-30 -0.013 -0.013  0.007  0.043  0.083  0.183  0.251  0.338  0.367725"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EBO.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Wgm7tcOPzB5g7tYCPf2AWnoCFyppWJhZnM31CrjSVjrJDlS2SxAiBuTP2CpG0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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f36bba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "quotes_returns(EBO.rename(columns={'1w' : 'index'}))\n",
    "plt.savefig('../images/03_stf/EBO_quotes_returns.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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A4NdOew4r5i9vc0Uz8zOrH8NApZ8bN/6Yr9z9n+0uR2o5g4mkrjExOcHf/ehT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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f8deb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_histogram(EBO)\n",
    "plt.savefig('../images/03_stf/EBO_histogram.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112173e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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E/HnuAWY2C/iCu38w3P4OsK3ikYqITHJJJYrTgGvD148B3yhwzHuBV8P1uWcC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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f94f5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_qqplot(EBO)\n",
    "plt.savefig('../images/03_stf/EBO_qqplot.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rVWLmJ7sdGDvWhCFDnDh3zoY//tChR49ojBnjRI8eTIBlnQOq5UqNtcpaD0un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\n2XoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f4b2588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_term_structure(EBO)\n",
    "plt.savefig('../images/03_stf/EBO_term_structure.pdf')"
   ]
  },
  {
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   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>\n",
    "\n",
    "**Quant Platform** |\n",
    "<a href=\"http://quant-platform.com\">http://quant-platform.com</a>\n",
    "\n",
    "**Python for Finance** |\n",
    "<a href=\"http://python-for-finance.com\" target=\"_blank\">Python for Finance @ O'Reilly</a>\n",
    "\n",
    "**Derivatives Analytics with Python** |\n",
    "<a href=\"http://derivatives-analytics-with-python.com\" target=\"_blank\">Derivatives Analytics @ Wiley Finance</a>\n",
    "\n",
    "**Listed Volatility and Variance Derivatives** |\n",
    "<a href=\"http://lvvd.tpq.io\" target=\"_blank\">Listed VV Derivatives @ Wiley Finance</a>\n",
    "\n",
    "**Python Online Training** |\n",
    "<a href=\"http://certificate.tpq.io\" target=\"_blank\">Python for Algorithmic Trading University Certificate</a>"
   ]
  }
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